To solve for x in the equation A = 6x + 5, we can first subtract 5 from both sides, giving us A - 5 = 6x. This simplifies to A = 6x + 5. Dividing both sides by 6 gives us x = (A-5)/6.
Similarly, we can solve for x in the equation B = 4x + 45. Subtracting 45 from both sides gives us B - 45 = 4x, and dividing by 4 gives us x = (B-45)/4.
To find the measure of A, we can substitute the value of x that we found into the equation for A.
A = 6x + 5
A = (6 * (B-45)/4) + 5
A = (3/2) * B - 45/2 + 5
A = (3/2) * B + 5/2
So the measure of A is (3/2) * B + 5/2.